Domain Decomposition for Linear Exterior Boundary Value Problems in 2D Elasticity

Abstract

In this paper we present new domain decomposition methods for solving linear exterior boundary value problems in elasticity. Our methods use a suitable Dirichlet to Neumann mapping which allows to transform the exterior problem into an equivalent boundary value problem in a bounded domain.
Then, the use of Steklov–Poincar´e operators and iterative solvers allows to obtain domain decomposition algorithms which can be naturally implemented on a parallel computing environment.